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Finding the Fourth Proportional to 314,336.22, 471,509.22 and 174,980.58

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Solution

The fourth proportional to 314,336.22, 471,509.22 and 174,980.58 is: 262,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,336.22 : 471,509.22 = 174,980.58 : x
  2. Step 2: Convert to fraction form
    314,336.22/471,509.22 = 174,980.58/x
  3. Step 3: Cross multiply
    314,336.22x = 471,509.22 × 174,980.58
  4. Step 4: Simplify right side
    314,336.22x = 82,504,956,790.95
  5. Step 5: Solve for x
    x = 82,504,956,790.95/314,336.22
  6. Step 6: Final answer
    x = 262,473.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.